Send right back a while after (5)
I believe the answer is:
remit
'send' is the definition.
(thesaurus)
'right back a while after' is the wordplay.
'right' becomes 'r' (common abbreviation).
'back' says the letters should be written in reverse.
'a while' becomes 'time' (I've seen this before).
'after' means one lot of letters go next to another.
'time' in reverse letter order is 'emit'.
'r'+'emit'='REMIT'
(Other definitions for remit that I've seen before include "Job specification" , "Desist from" , "Send < authorisation" , "Send; abate; cancel" , "Task/area assigned (to an organisation)" .)